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Fill-in the following table for the decay of a particular radioisotope.

Fill-in the following table for the decay of a particular radioisotope.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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The table provided is used to illustrate the decay of a particular radioisotope over time, represented in half-lives (\(N\)), total time passed (in minutes), and the remaining mass (in grams). **Table: Decay of a Particular Radioisotope** | \(N\) (\(t_{1/2}\) passed) | Total time (\(t\)) passed in min. | Mass remaining in grams | |----------------------------|-----------------------------------|-------------------------| | 0 | 0 | (initial mass) | | 1 | (To be filled) | 32 | | 2 | (To be filled) | (To be filled) | | 3 | (To be filled) | (To be filled) | | 4 | 56 | 4 | ### Analysis: - At \(N = 0\), the initial amount of radioisotope is present with no decay having occurred yet. - The goal is to determine the unknown total times elapsed for each half-life and the corresponding mass remaining at each stage. - By the fourth half-life, 56 minutes have passed, and the mass has decreased to 4 grams. ### Diagram Explanation: - There are no specific diagrams or graphs provided in the image. It is solely a tabular representation of data regarding radioactive decay with certain fields left blank for calculation or further input.
Transcribed Image Text:The table provided is used to illustrate the decay of a particular radioisotope over time, represented in half-lives (\(N\)), total time passed (in minutes), and the remaining mass (in grams). **Table: Decay of a Particular Radioisotope** | \(N\) (\(t_{1/2}\) passed) | Total time (\(t\)) passed in min. | Mass remaining in grams | |----------------------------|-----------------------------------|-------------------------| | 0 | 0 | (initial mass) | | 1 | (To be filled) | 32 | | 2 | (To be filled) | (To be filled) | | 3 | (To be filled) | (To be filled) | | 4 | 56 | 4 | ### Analysis: - At \(N = 0\), the initial amount of radioisotope is present with no decay having occurred yet. - The goal is to determine the unknown total times elapsed for each half-life and the corresponding mass remaining at each stage. - By the fourth half-life, 56 minutes have passed, and the mass has decreased to 4 grams. ### Diagram Explanation: - There are no specific diagrams or graphs provided in the image. It is solely a tabular representation of data regarding radioactive decay with certain fields left blank for calculation or further input.
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